2657065680 has 400 divisors, whose sum is σ = 9652913424. Its totient is φ = 676823040.

The previous prime is 2657065661. The next prime is 2657065717. The reversal of 2657065680 is 865607562.

2657065680 is a `hidden beast` number, since 26 + 570 + 6 + 56 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 196112016 + 2460953664 = 14004^2 + 49608^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19394572 + ... + 19394708.

Almost surely, 2^2657065680 is an apocalyptic number.

2657065680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2657065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826456712).

2657065680 is an abundant number, since it is smaller than the sum of its proper divisors (6995847744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2657065680 is a wasteful number, since it uses less digits than its factorization.

2657065680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2657065680 is about 51546.7329711593. The cubic root of 2657065680 is about 1385.0563093181.

The spelling of 2657065680 in words is "two billion, six hundred fifty-seven million, sixty-five thousand, six hundred eighty".